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Finding the Fourth Proportional to 812.69, 1,219.07 and 235.56

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Solution

The fourth proportional to 812.69, 1,219.07 and 235.56 is: 353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.69 : 1,219.07 = 235.56 : x
  2. Step 2: Convert to fraction form
    812.69/1,219.07 = 235.56/x
  3. Step 3: Cross multiply
    812.69x = 1,219.07 × 235.56
  4. Step 4: Simplify right side
    812.69x = 287,164.13
  5. Step 5: Solve for x
    x = 287,164.13/812.69
  6. Step 6: Final answer
    x = 353.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.